Renormalization group computation of the mass distribution in an expanding universe. I - Method

Computer Science – Numerical Analysis

Scientific paper

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Astronomical Models, Big Bang Cosmology, Many Body Problem, Mass Distribution, Universe, Galactic Clusters, Group Theory, Numerical Analysis, Stability

Scientific paper

A method is presented for computing the mass distribution that develops in a model universe with no characteristic lengths provided by the matter or by the background expanding cosmological model. This problem is of interest as a possible approximation to our universe and as a test of our ability to compute the evolution of the mass distribution in an expanding universe. A preliminary application of the method yields results intermediate between what has been obtained from conventional N-body models and what followed from the Davis-Peebles (1983) integration of the BBGKY hierarchy: the mass autocorrelation function xi(r) approaches the expected power-law behavior at small lag r, but xi(r) breaks below the power law at a value of xi larger than that suggested by the galaxy clustering data.

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